安庆师范学院学报（自然科学版）2016，Vol.22Issue(2)：121-123,3.DOI:10.13757/j.cnki.cn34-1150/n.2016.02.029
矩阵的初等变换在几何学上的应用
Application of Elementary Transformation of Matrix in Geometry
孙卫卫1
作者信息
- 1. 青岛理工大学 琴岛学院，山东 青岛 266106
- 折叠
摘要
Abstract
Quadratic form can be simplied to standard form by using elementary transformation method .Inspired by this, in this paper, the elementary transformation method is given .This method is employed to find the diagonal matrix that is congruent with the real symmetric matrix .Then the corresponding theorem is given .From this point of view , the elementary transformation of the matrix is applied in geometry .These shapes of a kind of quadratic curves and a kind of quadratic surfaces are deduced using el-ementary transformation method.Furthermore the corresponding rational conclusion is given.关键词
初等变换/二次曲线/二次曲面/实对称矩阵/二次型Key words
elementary transformation/quadratic curve/quadratic surface/real symmetric matrix/quadratic form分类
数理科学引用本文复制引用
孙卫卫..矩阵的初等变换在几何学上的应用[J].安庆师范学院学报（自然科学版）,2016,22(2):121-123,3.
